University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 16, Problem 64P
A cord has a linear mass density of
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64. Two springs have the same unstretched length but different spring
constants, k₁ and k₂. (a) If they're connected side by side and
stretched a distance x, as shown in Fig. 4.24a, show that the force
exerted by the combination is (k₁ + k₂)x. (b) If they're con-
nected end to end (Fig. 4.24b) and the combination is stretched a
distance x, show that they exert a force k₁k2x/(k₁ + k₂).
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(a)
FIGURE 4.24 Problem 65
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(b)
65. Although we usually write Newton's second law for one-dimensional
motion in the form F =ma, which holds when mass is constant,
d(mv)
a more fundamental version is F
=
.
Consider an object
dt
whose mass is changing, and use the product rule for derivatives to
show that Newton's law then takes the form F
dm
= ma + v
dt
If a proton is located on the x-axis in some coordinate system at x0 = -3.2 x 10-5 meters, what is the x-component of the Electric Field due to this proton at a position x = +3.2 x 10-5 meters and on the x axis as the y-axis is 0 giving a number of Newtons/Coulomb?
Chapter 16 Solutions
University Physics Volume 1
Ch. 16 - Check Your Understanding When a guitar string is...Ch. 16 - Check Your Understanding The propagation velocity...Ch. 16 - Check Your Understanding The wave function above...Ch. 16 - Check Your Understanding The wave equation...Ch. 16 - Check Your Understanding The wave speed of a wave...Ch. 16 - Check Your Understanding Is the time-averaged...Ch. 16 - Check Your Understanding The equations for the...Ch. 16 - Give one example of a transverse wave and one...Ch. 16 - A sinusoidal transverse wave has a wavelength of...Ch. 16 - What is the difference between propagation speed...
Ch. 16 - Consider a stretched spring, such as a slinky. The...Ch. 16 - Consider a wave produced on a stretched spring by...Ch. 16 - A sinusoidal, transverse wave is produced on a...Ch. 16 - An electromagnetic wave, such as light, does not...Ch. 16 - If you were to shake the end of a taut spring up...Ch. 16 - If you shake the end of a stretched spring up and...Ch. 16 - Does the vertical speed of a segment of a...Ch. 16 - In this section, we have considered waves that...Ch. 16 - If you drop a pebble in a pond you may notice that...Ch. 16 - If the tension in a string were increased by a...Ch. 16 - Does a sound wave move faster in seawater or fresh...Ch. 16 - Guitars have strings of different linear mass...Ch. 16 - Shown below are three waves that were sent down a...Ch. 16 - Electrical power lines connected by two utility...Ch. 16 - Two strings, one with a low mass density and one...Ch. 16 - Consider a string with under tension with a...Ch. 16 - Circular water waves decrease in amplitude as they...Ch. 16 - In a transverse wave on a string, the motion of...Ch. 16 - The energy from the sun warms the portion of the...Ch. 16 - The intensity of a spherical waves decreases as...Ch. 16 - An incident sinusoidal wave is sent along a string...Ch. 16 - A string of a length of 2.00 m with a linear mass...Ch. 16 - A long, tight spring is held by two students, one...Ch. 16 - Many of the topics discussed in this chapter are...Ch. 16 - A string of a constant linear mass density is held...Ch. 16 - A truck manufacturer finds that a strut in the...Ch. 16 - Why do roofs of gymnasiums and churches seem to...Ch. 16 - Wine glasses can be set into resonance by...Ch. 16 - Air conditioning units are sometimes placed on the...Ch. 16 - Consider a standing wave modeled as...Ch. 16 - Storms in the South Pacific can create waves that...Ch. 16 - Waves on a swimming pool propagate at 0.75 m/s....Ch. 16 - Wind gusts create ripples on the ocean that have a...Ch. 16 - How many times a minute does a boat bob up and...Ch. 16 - Scouts at a camp shake the rope bridge they have...Ch. 16 - What is the wavelength of the waves you create in...Ch. 16 - What is the wavelength of an earthquake that...Ch. 16 - Radio waves transmitted through empty space at the...Ch. 16 - Your ear is capable of differentiating sounds that...Ch. 16 - (a) Seismographs measure the arrival times of...Ch. 16 - A Girl Scout is taking a 10.00-km hike to earn a...Ch. 16 - A quality assurance engineer at a frying pan...Ch. 16 - A pulse can be described as a single wave...Ch. 16 - A transverse wave on a string is modeled with the...Ch. 16 - Consider the wave function...Ch. 16 - A pulse is defined as y(x,t)=e2.77( 2.00( x2.00m/s...Ch. 16 - A wave is modeled at time t=0.00s with a wave...Ch. 16 - A wave is modeled with the function...Ch. 16 - A surface ocean wave has an amplitude of 0.60 m...Ch. 16 - A wave is modeled by the wave function...Ch. 16 - A transverse wave on a string is described with...Ch. 16 - A swimmer in the ocean observes one day that the...Ch. 16 - Consider a wave described by the wave function...Ch. 16 - Consider two waves defined by the wave functions...Ch. 16 - Consider two waves defined by the wave functions...Ch. 16 - The speed of a transverse wave on a string is...Ch. 16 - Transverse waves are sent along a 5.00-m-long...Ch. 16 - A copper wire has a density of =8920 kg/m3, a...Ch. 16 - A piano wire has a linear mass density of =4.95103...Ch. 16 - A string with a linear mass density of =0.0060...Ch. 16 - A cord has a linear mass density of =0.0075 kg/m...Ch. 16 - A string is 3.00 m long with a mass of 5.00 g. The...Ch. 16 - Two strings are attached to poles, however the...Ch. 16 - Two strings are attached to poles, however the...Ch. 16 - Transverse waves travel through a string where the...Ch. 16 - Two strings are attached between two poles...Ch. 16 - Two strings are attached between two poles...Ch. 16 - The note E4 is played on a piano and has a...Ch. 16 - Two transverse waves travel through a taut string....Ch. 16 - A sinusoidal wave travels down a taut, horizontal...Ch. 16 - The speed of a transverse wave on a string is...Ch. 16 - A string of length 5 m and a mass of 90 g is held...Ch. 16 - Ultrasound of intensity 1.50102W/m2 is produced by...Ch. 16 - The low-frequency speaker of a stereo set has...Ch. 16 - To increase the intensity of a wave by a factor of...Ch. 16 - A device called an insolation meter is used to...Ch. 16 - Energy from the Sun arrives at the top of Earth’s...Ch. 16 - Suppose you have a device that extracts energy...Ch. 16 - A photovoltaic array of (solar cells) is 10.0%...Ch. 16 - A microphone receiving a pure sound tone feeds an...Ch. 16 - A string with a mass of 0.30 kg has a length of...Ch. 16 - The power versus time for a point on a string...Ch. 16 - A string is under tension FT1. Energy is...Ch. 16 - A 250-Hz tuning fork is struck and the intensity...Ch. 16 - A sound speaker is rated at a voltage of P=120.00...Ch. 16 - The energy of a ripple on a pond is proportional...Ch. 16 - Consider two sinusoidal waves traveling along a...Ch. 16 - Consider two sinusoidal sine waves traveling along...Ch. 16 - Consider two sinusoidal sine waves traveling along...Ch. 16 - Two sinusoidal waves are moving through a medium...Ch. 16 - Two sinusoidal waves are moving through a medium...Ch. 16 - Two sinusoidal waves are moving through a medium...Ch. 16 - Consider two waves y1(x,t) and y2(x,t) that are...Ch. 16 - Two sinusoidal waves, which are identical except...Ch. 16 - Two sinusoidal waves, which are identical except...Ch. 16 - Consider two wave functions,...Ch. 16 - Consider two wave functions,...Ch. 16 - Consider two wave functions that differ only by a...Ch. 16 - A wave traveling on a Slinky® that is stretched to...Ch. 16 - A 2-m long string is stretched between two...Ch. 16 - Consider the experimental setup shown below. The...Ch. 16 - A cable with a linear density of =0.2 kg/m is hung...Ch. 16 - Consider a rod of length L, mounted in the center...Ch. 16 - Consider two wave functions...Ch. 16 - A 2.40-m wire has a mass of 7.50 g and is under a...Ch. 16 - A string with a linear mass density of 0.0062 kg/m...Ch. 16 - A string with a linear mass density of 0.0075 kg/m...Ch. 16 - Two sinusoidal waves with identical wavelengths...Ch. 16 - A string, fixed on both ends, is 5.00 m long and...Ch. 16 - A string is fixed at both end. The mass of the...Ch. 16 - The frequencies of two successive modes of...Ch. 16 - A string is fixed at both ends to supports 3.50 m...Ch. 16 - Sine waves are sent down a 1.5-m-long string fixed...Ch. 16 - Ultrasound equipment used in the medical...Ch. 16 - Shown below is the plot of a wave function that...Ch. 16 - The speed of light in air is approximately...Ch. 16 - A radio station broadcasts radio waves at a...Ch. 16 - A sunbather stands waist deep in the ocean and...Ch. 16 - A tuning fork vibrates producing sound at a...Ch. 16 - A motorboat is traveling across a lake at a speed...Ch. 16 - Use the linear wave equation to show that the wave...Ch. 16 - Given the wave functions y1(x,t)=Asin(kxt) and...Ch. 16 - A transverse wave on a string is modeled with the...Ch. 16 - A sinusoidal wave travels down a taut, horizontal...Ch. 16 - A transverse wave on a string (=0.0030kg/m) is...Ch. 16 - A transverse wave on a horizontal string...Ch. 16 - A student holds an inexpensive sonic range finder...Ch. 16 - A wave on a string is driven by a string vibrator,...Ch. 16 - A traveling wave on a string is modeled by the...Ch. 16 - A transverse wave on a string has a wavelength of...Ch. 16 - (a) What is the intensity of a laser beam used to...Ch. 16 - Consider two periodic wave functions,...Ch. 16 - Consider two periodic wave functions,...Ch. 16 - A trough with dimensions 10.00 meters by 0.10...Ch. 16 - A seismograph records the S- and P-waves from an...Ch. 16 - Consider what is shown below. A 20.00-kg mass...Ch. 16 - Consider the superposition of three wave functions...Ch. 16 - A string has a mass of 150 g and a length of 3.4...Ch. 16 - A standing wave is produced on a string under a...Ch. 16 - A string with a length of 4 m is held under a...Ch. 16 - A copper wire has a radius of 200 µ m and a length...Ch. 16 - A pulse moving along the x axis can be modeled as...Ch. 16 - A string with a linear mass density of =0.0085...Ch. 16 - Consider two wave functions y1(x,t)=Asin(kxt) and...Ch. 16 - The wave function that models a standing wave is...Ch. 16 - Consider two wave functions y1(x,t)=Asin(kxt) and...
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ISBN:9781938168277
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Publisher:OpenStax - Rice University